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Balasubramanian K. Topological Peripheral Shapes and Distance-Based Characterization of Fullerenes C 20-C 720: Existence of Isoperipheral Fullerenes. Polycycl Aromat Compd 2022. [DOI: 10.1080/10406638.2020.1802303] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Symmetry and Combinatorial Concepts for Cyclopolyarenes, Nanotubes and 2D-Sheets: Enumerations, Isomers, Structures Spectra & Properties. Symmetry (Basel) 2021. [DOI: 10.3390/sym14010034] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023] Open
Abstract
This review article highlights recent developments in symmetry, combinatorics, topology, entropy, chirality, spectroscopy and thermochemistry pertinent to 2D and 1D nanomaterials such as circumscribed-cyclopolyarenes and their heterocyclic analogs, carbon and heteronanotubes and heteronano wires, as well as tessellations of cyclopolyarenes, for example, kekulenes, septulenes and octulenes. We establish that the generalization of Sheehan’s modification of Pólya’s theorem to all irreducible representations of point groups yields robust generating functions for the enumeration of chiral, achiral, position isomers, NMR, multiple quantum NMR and ESR hyperfine patterns. We also show distance, degree and graph entropy based topological measures combined with techniques for distance degree vector sequences, edge and vertex partitions of nanomaterials yield robust and powerful techniques for thermochemistry, bond energies and spectroscopic computations of these species. We have demonstrated the existence of isentropic tessellations of kekulenes which were further studied using combinatorial, topological and spectral techniques. The combinatorial generating functions obtained not only enumerate the chiral and achiral isomers but also aid in the machine construction of various spectroscopic and ESR hyperfine patterns of the nanomaterials that were considered in this review. Combinatorial and topological tools can become an integral part of robust machine learning techniques for rapid computation of the combinatorial library of isomers and their properties of nanomaterials. Future applications to metal organic frameworks and fullerene polymers are pointed out.
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Topological characterization of hexagonal and rectangular tessellations of kekulenes as traps for toxic heavy metal ions. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02733-0] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
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Huilgol MI, Divya B, Balasubramanian K. Distance degree vector and scalar sequences of corona and lexicographic products of graphs with applications to dynamic NMR and dynamics of nonrigid molecules and proteins. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02719-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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Barkleit A, Tsushima S, Savchuk O, Philipp J, Heim K, Acker M, Taut S, Fahmy K. Eu3+-Mediated Polymerization of Benzenetetracarboxylic Acid Studied by Spectroscopy, Temperature-Dependent Calorimetry, and Density Functional Theory. Inorg Chem 2011; 50:5451-9. [DOI: 10.1021/ic102292j] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Astrid Barkleit
- Institute of Radiochemistry, Helmholtz-Zentrum Dresden-Rossendorf e.V., P.O. Box 510119, 01314 Dresden, Germany
- Division of Radiochemistry, Department of Chemistry and Food Chemistry, Technische Universität Dresden, 01062 Dresden, Germany
| | - Satoru Tsushima
- Institute of Radiochemistry, Helmholtz-Zentrum Dresden-Rossendorf e.V., P.O. Box 510119, 01314 Dresden, Germany
| | - Olesya Savchuk
- Institute of Radiochemistry, Helmholtz-Zentrum Dresden-Rossendorf e.V., P.O. Box 510119, 01314 Dresden, Germany
| | - Jenny Philipp
- Institute of Radiochemistry, Helmholtz-Zentrum Dresden-Rossendorf e.V., P.O. Box 510119, 01314 Dresden, Germany
| | - Karsten Heim
- Institute of Radiochemistry, Helmholtz-Zentrum Dresden-Rossendorf e.V., P.O. Box 510119, 01314 Dresden, Germany
| | - Margret Acker
- Central Radionuclide Laboratory, Technische Universität Dresden, 01062 Dresden, Germany
| | - Steffen Taut
- Central Radionuclide Laboratory, Technische Universität Dresden, 01062 Dresden, Germany
| | - Karim Fahmy
- Institute of Radiochemistry, Helmholtz-Zentrum Dresden-Rossendorf e.V., P.O. Box 510119, 01314 Dresden, Germany
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Knope KE, Cahill CL. Synthesis and Characterization of 1-, 2-, and 3-Dimensional Bimetallic UO22+/Zn2+Phosphonoacetates. Eur J Inorg Chem 2010. [DOI: 10.1002/ejic.200901080] [Citation(s) in RCA: 60] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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